Question

37*(х-9)=74. 28*(х-7)-84. (х+12)*3=75. 560-(*+15)=380. Решите уравнение .

Answer 1

37×(x-9)=74
x-9=2
x=2+9
x=11

Answer 2

To solve each equation, let's follow the steps one by one:

1. 37*(x-9) = 74

To solve this equation, we'll first distribute the 37 on the left side:

37x - 37*9 = 74

Now, simplify:

37x - 333 = 74

Next, isolate the variable by moving the constant term to the other side:

37x = 74 + 333

37x = 407

Finally, solve for x by dividing both sides by 37:

x = 407 / 37

x ≈ 11

2. 28*(x-7) - 84 = 0

To solve this equation, follow similar steps:

28x - 28*7 - 84 = 0

28x - 196 - 84 = 0

28x - 280 = 0

Now, add 280 to both sides:

28x = 280

Finally, solve for x:

x = 280 / 28

x = 10

3. (x+12)*3 = 75

To solve this equation, follow similar steps:

3(x + 12) = 75

Now, distribute the 3 on the left side:

3x + 36 = 75

Next, move the constant term to the other side:

3x = 75 - 36

3x = 39

Finally, solve for x:

x = 39 / 3

x = 13

4. 560 - (x + 15) = 380

To solve this equation, follow similar steps:

560 - x - 15 = 380

Now, combine like terms:

545 - x = 380

Next, move the constant term to the other side:

-x = 380 - 545

-x = -165

Finally, solve for x by multiplying both sides by -1:

x = 165

So, the solutions to the equations are:

1. x ≈ 11
2. x = 10
3. x = 13
4. x = 165